# Expanded Form

These lessons, with videos, examples, and solutions, teach Grade 3 students how to write numbers in expanded form.

Expanded form is a way of representing a number as the sum of its place value components. Writing a number in expanded form shows the value of each digit.

The following diagram shows how to write a number in expanded form. Scroll down the page for more examples and solutions.

Here’s an example of a number expressed in expanded form:
Example:
Write 536 in expanded form:
536 = 500 + 30 + 6
In this example, the number 536 is expressed as the sum of its place value components: 500 (in the hundreds place), 30 (in the tens place), and 6 (in the units place).

Let’s try another example:
Example:
Write 9,845 in expanded form:
9,845 = 9,000 + 800 + 40 + 5
In this example, the number 9,845 is expressed as the sum of its place value components: 9,000 (in the thousands place), 800 (in the hundreds place), 40 (in the tens place), and 5 (in the units place).

Expanded Notation: How can I write numbers in expanded form?
Write the following in expanded form:

1. 598
2. 9,507
3. 75,080
4. 900,862
5. 9,604,008
6. 28,070,501

Standard Form, Expanded Form, and Word Form of Numbers
Learn to write numbers in standard, expanded, and word form. Here are the definitions and examples of standard form, expanded form, and word form of numbers:

Standard Form: Standard form, also known as normal form or standard notation, is the conventional way of writing a number using digits. In standard form, a number is written with digits and follows the usual rules of place value, where each digit represents a specific place value in the number.
Example:
Standard Form: 345,678

Expanded Form: Expanded form is a way of writing a number as the sum of its place values. It breaks down a number into its individual digits and shows the value of each digit based on its place value.
Example:
Expanded Form: 300,000 + 40,000 + 5,000 + 600 + 70 + 8

Word Form: Word form is a way of writing a number using words. It represents the number using words for each digit, following the rules of place value.
Example:
Word Form: Three hundred forty-five thousand six hundred seventy-eight

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